Question : Directions: Which two numbers from amongst the given options should be interchanged to make the given equation correct? (36 ÷ 2) × 5 –15 × 4 = 20 – 260 ÷ (5 × 3 + 2)
Option 1: 4 and 2
Option 2: 3 and 5
Option 3: 20 and 36
Option 4: 2 and 3
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Correct Answer: 2 and 3
Solution : Given: (36 ÷ 2) × 5 – 15 × 4 = 20 – 260 ÷ (5 × 3 + 2)
Replace the given numbers in the options one by one with the original numbers in the given equation. First option: 4 and 2 ⇒ (36 ÷ 4) × 5 – 15 × 2 = 20 – 260 ÷ (5 × 3 + 4) 45 – 30 = 20 – 13.68 15 ≠ 6.31 Second option: 3 and 5 ⇒ (36 ÷ 2) × 3 – 15 × 4 = 20 – 260 ÷ (3 × 5 + 2) 54 – 60 = 20 – 15.29 6 ≠ 4.70 Third option: 20 and 36 ⇒ (20 ÷ 2) × 5 – 15 × 4 = 36 – 260 ÷ (5 × 3 + 2) 50 – 60 = 36 – 15.29 –10 ≠ 20.70 Fourth option: 2 and 3 ⇒ (36 ÷ 3) × 5 – 15 × 4 = 20 – 260 ÷ (5 × 2 + 3) 60 – 60 = 20 – 20 0 = 0
So, only the fourth option satisfies the L.H.S. = R.H.S. of the given equation. Hence, the fourth option is correct.
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Question : Directions: Which two symbols from amongst the given options should be interchanged to make the given equation correct? 272 ÷ 17 – 196 ÷ (5 × 3 + 1) = 30
Option 1: × and –
Option 2: × and +
Option 3: + and ÷
Option 4: + and –
Question : Directions: Which two numbers from amongst the given options should be interchanged to make the given equation correct? (42 ÷ 7) × 5 = 30 × 120 ÷ (10 + 5 × 2)
Option 1: 10 and 5
Option 2: 2 and 5
Option 3: 7 and 2
Option 4: 10 and 30
Question : Directions: Which two symbols from amongst the given options should be interchanged to make the given equation correct? (35 – 2) × 3 = (56 × 8 ÷ 3 + 100) × 11
Option 1: ÷ and +
Option 2: × and ÷
Option 3: + and –
Option 4: × and –
Question : Directions: Which two numbers from amongst the given options should be interchanged to make the given equation correct? (240 ÷ 2 + 5) × 8 + 15 × 8 = 100
Option 1: 2 and 8
Option 2: 100 and 240
Option 3: 5 and 8
Option 4: 15 and 5
Question : Directions: Which two numbers from amongst the given options should be interchanged to make the given equation correct? (63 ÷ 9 + 17) ÷ 11 = 15 – 195 ÷ 17 – 2
Option 1: 11 and 15
Option 2: 17 and 15
Option 3: 195 and 63
Option 4: 2 and 15
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